Question

What is the ratio (in the form of a decimal) of the root-mean-square speed of 238UF6 to that of 235UF6 at constant temperature? Express your answer to three significant figures.

Answer 1

Answer:

ratio=0.996m/s

Explanation:

$RMS=\sqrt{\frac{3RT}{M} }$; M= molecular weight of compound;

RMS speed is inversly proportional to the molecular weight hence compound having less molecular weight will have more rms speed value.

$V1 for 238 UF_{6}; M1=238+114=352g/mole$

$V1 for 235 UF_{6}; M1=238+114=352g/mole$

$V1=\sqrt{\frac{3RT}{352} }$;

$V2=\sqrt{\frac{3RT}{349} }$;

$\frac{V1}{V2}$=ratio of $238UF_{6} F6 to 235UF_{6}$=$\sqrt{\frac{349}{352} }$;

$\frac{V1}{V2} =0.9957m/s;$

$\frac{V1}{V2} =0.996m/s;$